Difficulty: Easy
Correct Answer: 3.33 × 10^-30 C·m
Explanation:
Introduction:
The Debye (D) is a convenient unit for molecular-scale dipole moments used in chemistry, materials science, and dielectrics. Converting Debye to SI units (C·m) helps compare theoretical predictions and experimental measurements consistently.
Given Data / Assumptions:
Concept / Approach:
By definition, 1 Debye ≈ 3.335 64 × 10^-30 C·m. For most engineering calculations, 3.33 × 10^-30 C·m is used as a rounded value. This small magnitude reflects molecular-scale separations and elementary charges in polar molecules.
Step-by-Step Solution:
Verification / Alternative check:
Typical water dipole moment ≈ 1.85 D translates to ≈ 6.17 × 10^-30 C·m, consistent with literature values.
Why Other Options Are Wrong:
Options with m^2 have wrong dimensions; 10^-10 C·m is orders of magnitude too large; 10^-28 C·m is also incorrect.
Common Pitfalls:
Mixing up cgs and SI, or confusing Debye with Coulomb-meter-squared.
Final Answer:
3.33 × 10^-30 C·m
Discussion & Comments